example 3 Graphing a Complete Graph

Chapter 1.2

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

2009 PBLPathways

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

On a Texas Instruments (TI) calculator, the standard window is defined to be

min max min max10 10 10 10x x y y

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

On a Texas Instruments (TI) calculator, the standard window is defined to be

min max min max10 10 10 10x x y y

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

On a Texas Instruments (TI) calculator, the standard window is defined to be

min max min max10 10 10 10x x y y

minx

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

On a Texas Instruments (TI) calculator, the standard window is defined to be

min max min max10 10 10 10x x y y

minx

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

On a Texas Instruments (TI) calculator, the standard window is defined to be

min max min max10 10 10 10x x y y

minx maxx

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

On a Texas Instruments (TI) calculator, the standard window is defined to be

min max min max10 10 10 10x x y y

minx maxx

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

On a Texas Instruments (TI) calculator, the standard window is defined to be

min max min max10 10 10 10x x y y

minx maxx

miny

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

On a Texas Instruments (TI) calculator, the standard window is defined to be

min max min max10 10 10 10x x y y

minx maxx

miny

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

On a Texas Instruments (TI) calculator, the standard window is defined to be

min max min max10 10 10 10x x y y

minx maxx

miny

maxy

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

x

y

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

x

y

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

a. using the standard window.

b. using the window xmin = -10, xmax = 10, ymin = -25, ymax = 10.

Which graph gives a better view of the graph of the function?

x

y

x

y

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

x

y

x

y

A graph is complete if it shows the basic shape of the graph and important points on the graph (including points where the graph crosses the axes and points where the graph turns) and suggests what the unseen portions of the graph will be.

A graph is complete if it shows the basic shape of the graph and important points on the graph (including points where the graph crosses the axes and points where the graph turns) and suggests what the unseen portions of the graph will be.

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

x

y

x

y

A graph is complete if it shows the basic shape of the graph and important points on the graph (including points where the graph crosses the axes and points where the graph turns) and suggests what the unseen portions of the graph will be.

A graph is complete if it shows the basic shape of the graph and important points on the graph (including points where the graph crosses the axes and points where the graph turns) and suggests what the unseen portions of the graph will be.

2009 PBLPathways

Sketch the graph of . 3 23 13y x x

x

y

x

y

A graph is complete if it shows the basic shape of the graph and important points on the graph (including points where the graph crosses the axes and points where the graph turns) and suggests what the unseen portions of the graph will be.

A graph is complete if it shows the basic shape of the graph and important points on the graph (including points where the graph crosses the axes and points where the graph turns) and suggests what the unseen portions of the graph will be.

2009 PBLPathways

Input the function

1.Press the key below the screen.

2.Position the cursor on \Y1 =.

3.Press .

4.The = sign is now highlighted to show that Y1 is on and ready to be graphed.

3 23 13y x x

2009 PBLPathways

Graph in a standard window

5.To graph a function in a standard window quickly, press .

6.Use the to scroll down to Zstandard and or press .

2009 PBLPathways

Set the viewing window for

7.Press the key below the screen.

8.Use the arrow keys to position the cursor on the line you wish to change.

9.Set the window values to xmin = -10, xmax = 10, ymin = -25, and ymax = 10. Use Yscl = 5 so that there are not so many tick marks on the y-axis. This means that every 5 units vertically, a tick mark will be displayed.

10.Press .

3 2Y1 3 13x x